Math, asked by riyansh, 1 year ago

how many times are there in the sequence 3,6,9,12,---,111?


QGP: I think you mean 'terms' instead of 'times'
prakshal1: ohsjvoabd

Answers

Answered by QGP
188
Hello Friend,

Here,
The Sequence is 3,6,9,12,...,11
This sequence is an Arithmetic Progression​ (AP)

So, first term = a = 3
Common difference = d = 3
Last term = Tn = 111
Let number of terms be n.


Now, Tn = a + (n-1)d
So, 111 = 3 + (n-1)×3
So, 108 = 3×(n-1)
So, 108/3 = n-1
So, n-1 = 36
So, n = 37

Thus, number if terms is 37.

Hope it helps.

Purva
@Purvaparmar1405
Brainly.in
Answered by nalinsingh
41

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